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An economic order quantity (EOQ) for items with imperfect quality and inspection errors

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  • Khan, Mehmood
  • Jaber, Mohamad Y.
  • Bonney, Maurice

Abstract

An approach similar to Salameh and Jaber (2000) has been used in this paper to produce an optimal production/order quantity that takes care of imperfect processes. An imperfect inspection process (Raouf et al., 1983) is utilized to describe the defective proportion of the received lot. That is, the inspector may commit errors while screening. The probability of misclassification errors is assumed to be known. The inspection process would consist of three costs: (a) cost of inspection (b) cost of Type I errors and (c) cost of Type II errors. The defective items, classified by the inspector and the buyer would be salvaged as a single batch that is sold at a lower price. A mathematical model is developed to depict this scenario. Numerical examples are provided to illustrate the solution procedure.

Suggested Citation

  • Khan, Mehmood & Jaber, Mohamad Y. & Bonney, Maurice, 2011. "An economic order quantity (EOQ) for items with imperfect quality and inspection errors," International Journal of Production Economics, Elsevier, vol. 133(1), pages 113-118, September.
    • Handle: RePEc:eee:proeco:v:133:y:2011:i:1:p:113-118
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    References listed on IDEAS

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    5. Mehmood Khan & Matloub Hussain & Leopoldo Eduardo Cárdenas-Barrón, 2017. "Learning and screening errors in an EPQ inventory model for supply chains with stochastic lead time demands," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4816-4832, August.
    6. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    7. Chayanika Rout & Ravi Shankar Kumar & Debjani Chakraborty & Adrijit Goswami, 2019. "An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type-2 fuzzy approach," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 657-688, September.
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    13. Ivan Darma Wangsa & Hui Ming Wee & Shih-Hsien Tseng, 2019. "A coordinated vendor–buyer system considering loss and damage claims, insurance cost and stochastic lead time," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(3), pages 384-398, June.
    14. Leopoldo Eduardo Cárdenas-Barrón & María José Lea Plaza-Makowsky & María Alejandra Sevilla-Roca & José María Núñez-Baumert & Buddhadev Mandal, 2021. "An Inventory Model for Imperfect Quality Products with Rework, Distinct Holding Costs, and Nonlinear Demand Dependent on Price," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    15. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    16. Karzan Ghafour, 2017. "The Role of Items Quantity Constraint to Control the Optimal Economic Order Quantity," Modern Applied Science, Canadian Center of Science and Education, vol. 11(9), pages 1-61, September.
    17. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone & Zavanella, Lucio E., 2014. "Vendor Managed Inventory (VMI) with Consignment Stock (CS) agreement for a two-level supply chain with an imperfect production process with/without restoration interruptions," International Journal of Production Economics, Elsevier, vol. 157(C), pages 289-301.
    18. Björk, Kaj-Mikael, 2012. "A multi-item fuzzy economic production quantity problem with a finite production rate," International Journal of Production Economics, Elsevier, vol. 135(2), pages 702-707.
    19. Lie-Fern Hsu & Jia-Tzer Hsu, 2016. "Economic production quantity (EPQ) models under an imperfect production process with shortages backordered," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 852-867, March.
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    21. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.
    22. Zeng, Amy Z. & Hou, Jing, 2019. "Procurement and coordination under imperfect quality and uncertain demand in reverse mobile phone supply chain," International Journal of Production Economics, Elsevier, vol. 209(C), pages 346-359.
    23. Ahmed Abdel-Aleem & Mahmoud A. El-Sharief & Mohsen A. Hassan & Mohamed G. El-Sebaie, 2017. "A surface response optimization model for EPQ system with imperfect production process under rework and shortage," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 735-751, December.
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